GATE Practice Question and Answer

Q: Math Logic Challenge 1725 0

  • 1
    23
    Correct
    Wrong
  • 2
    26
    Correct
    Wrong
  • 3
    13
    Correct
    Wrong
  • 4
    29
    Correct
    Wrong
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Answer : 2. "26"
Explanation :

Answer: B) 26 Explanation: Let the integer be x. Then,  x2-20x = 156   (x + 6)(x - 26) = 0   x = 26   The integer is 26.

Q: In general, which is the cause of a sea breeze? 1723 0

  • 1
    Pressure
    Correct
    Wrong
  • 2
    Specific heat
    Correct
    Wrong
  • 3
    Heat
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 2. "Specific heat"
Explanation :

Answer: B) Specific heat Explanation: The usual cause of sea breeze is the difference in specific heat capacity between land and water Land heats and cools more quickly than water.   What is the cause of a sea breeze? The air over the land is warmed and rises, to a greater temperature than that over the sea. This produces a convection current, with cooler air flowing in from over the sea to replace that rising from the land. At night the land cools more than the sea, so the action reverses to produce a land-breeze, blowing off the land.

Q: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is  ? 1723 0

  • 1
    16/19
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    3/2
    Correct
    Wrong
  • 4
    17/20
    Correct
    Wrong
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Answer : 4. "17/20"
Explanation :

Answer: D) 17/20 Explanation: n(S) = 20n(Even no) = 10 = n(E)n(Prime no) = 8 = n(P)P(E U P) = 10/20 + 8/20 - 1/20 = 17/20

Q: The total simple interest earned on a sum of money increases by Rs. 600 when the rate of interest increases by 2% per annum. If the investment was made for 5 years, find the sum of money that was invested ? 1723 0

  • 1
    Rs. 6000
    Correct
    Wrong
  • 2
    Rs. 5550
    Correct
    Wrong
  • 3
    Rs. 7500
    Correct
    Wrong
  • 4
    Rs. 6580
    Correct
    Wrong
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Answer : 1. "Rs. 6000"
Explanation :

Answer: A) Rs. 6000 Explanation: Let the sum invested be Rs. P Let the rate of interest be R% per annum => Interest earned for 5 years = (P x 5 x R/100) = PR/20 Now, given that the interest earned increased by Rs. 600 if the Rate increased to (R+2)% => SI = (P x 5 x (R+2))/100 = PR/20 + 10P/100 Hence, PR/20 + 10P/100 = PR/20 + 600 => P = 6000 Therefore, the sum invested is Rs. 6000

Q: Find the next two numbers in the sequence 4, 12, 6, 18, 12, 26, 30, ?, ? 1723 0

  • 1
    36 & 90
    Correct
    Wrong
  • 2
    90 & 41
    Correct
    Wrong
  • 3
    45 & 36
    Correct
    Wrong
  • 4
    41 & 36
    Correct
    Wrong
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Answer : 1. "36 & 90"
Explanation :

Answer: A) 36 & 90 Explanation: the next 2 number in series we need to divide the series into 2 different series First series : 4 , 6, 12, 30 ?? Second Series : 12,18,26, ?? So we need to see for the pattern for those series in order to find the next two number , we can do this by finding the difference or division , multiplication logic whatever may apply :   Pattern of Series 1 :   6 divide 4 : 1.5 Next number i.e 12 divided by 6=2 Next number i.e 30 divided by 12 =2.5 So series is going in multiples of 1.5, 2, 2.5, 3 , so on So first series will look like 4 , 6, 12, 30, 30x3 =90   Pattern of Series 2 : 12,18,26, ??   Its simple Adding numbers with iterative logic (i.e 6, 8, then followed by 10, 12) Series will be like 12,18,26,36.   For the next two numbers : Series will be like 4, 12, 6, 18, 12, 26, 30, 36, 90

Q: A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is white ? 1722 0

  • 1
    14/33
    Correct
    Wrong
  • 2
    14/55
    Correct
    Wrong
  • 3
    12/55
    Correct
    Wrong
  • 4
    13/33
    Correct
    Wrong
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Answer : 1. "14/33"
Explanation :

Answer: A) 14/33 Explanation: Total number of chairs = (3 + 5 + 4) = 12. Let S be the sample space. Then, n(s)= Number of ways of picking 2 chairs out of 12 = 12×11/2×1 = 66 Let n(E) = number of events of selecting 2 chairs for selecting no white chairs. => 8C2 = 8×7/2×1 = 28 Therefore required probability = 28/66 = 14/33.

Q: Cobalt 60 is used for cancer treatment it emmits which rays? 1722 0

  • 1
    Alpha
    Correct
    Wrong
  • 2
    Beta
    Correct
    Wrong
  • 3
    Gamma
    Correct
    Wrong
  • 4
    X rays
    Correct
    Wrong
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Answer : 3. "Gamma"
Explanation :

Answer: C) Gamma Explanation: Cobalt therapy or cobalt-60 therapy is the medical use of gamma rays from the radioisotope cobalt-60 to treat conditions such as cancer.   Cobalt 60 is a synthetic radioactive isotope of cobalt with a half-life of 5.2714 years. It is produced artificially in nuclear reactors.

Q: How many bottles of water is a gallon? 1721 0

  • 1
    16
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 2. "8"
Explanation :

Answer: B) 8 Explanation: The easiest way would measure it through half a liter water bottle. There are approximately 16.9 ounces(oz) of water in a 500ml water bottle.   Gallon is an imperial customary volume unit for the U.S.   As we have previously mentioned, the 16.9oz bottle is also known as 500ml in the metric system. According to U.S. standard, 1 gallon stands for 128 fluid oz.   Hence, Number of bottles in 1 gallon = 128/16.9 = 7.57 =~ 8.

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